Computer Science and Information Technology
2025 · Paper 2
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Complete GATE CSE 2025 Paper 2 overview, original pages and practice · Timed previous-paper practice
Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.
Question 64
Open questionCSNAT2 marksNeeds review
A quadratic polynomial
over complex numbers is said to be square invariant if
. Suppose from the set of all square invariant quadratic polynomials we choose one at random.The probability that the roots of the chosen polynomial are equal is __________. (rounded off to one decimal place)
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The unit interval (0,1) is divided at a point chosen uniformly distributed over (0,1) in ℝ into two disjoint subintervals.
The expected length of the subinterval that contains 0.4 is __________. (rounded off to two decimal places)
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